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I would be a bit surprised if the same traffic, with the same IOS versions, and same configuration, performs much differently on a 3560G vs. a 3750G, as generally they're the same platform, although the 3750G offers stacking. However, the 3750G-12S is a "special" variant with a larger TCAM and additional SDM templates. That model was actually designed for a distribution role, vs. and edge role.
If you've a gig interface that's handling 700-800 Mbps, and you have any kind of bursty traffic, I would expect some variation is performance. A possible solution might be to use QoS to support a service level for some of your traffic.
